Finite Group Databasebeta

← #28292785

Subgroups — #28292785

Order 13568.

7274 conjugacy classes of subgroups.

The subgroup lattice has 2440 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#20289272C212yesmaximal, complemented
2#20289268C214yesmaximal, complemented
3#20289264C212yesmaximal, complemented
4#20289252C212yesmaximal, complemented
5#20289249C211yesmaximal, characteristic, complemented
6#20289238C211yesmaximal, characteristic, complemented
7#20289237C212yesmaximal, complemented
8#20289231C211yesmaximal, characteristic, complemented
9#20289073C212yesmaximal, complemented
10#20289065C212yesmaximal, complemented
11#20289058C212yesmaximal, complemented
12#20289044C212yesmaximal, complemented
13#20288799C212yesmaximal, complemented
14#20288793C212yesmaximal, complemented
15#20288743C212yesmaximal, complemented
16#20288740C212yesmaximal, complemented
17#20288662C212yesmaximal, complemented
18#20288658C212yesmaximal, complemented
19#20288645C214yesmaximal, complemented
20#20288547C212yesmaximal, complemented
21#20288544C212yesmaximal, complemented
22#20288478C212yesmaximal, complemented
23#20288473C212yesmaximal, complemented
24#20288453C212yesmaximal, complemented
25#20288442C212yesmaximal, complemented
26#20288439C214yesmaximal, complemented
27#20288354C214yesmaximal, complemented
28#532×D53C211yesmaximal, characteristic, complemented
29C2×#16811158C211yesmaximal, characteristic, complemented
30#529×D53C211yesmaximal, characteristic, complemented
31C53×#3559C211yesmaximal, characteristic, complemented
32C2×#13133263C2214yescomplemented
33C2×#41×D53C2212yescomplemented
34#16811377C2214yescomplemented
35#16811377C2212yescomplemented
36#16811374C2214yescomplemented
37#16811371C2212yescomplemented
38#16811371C2212yescomplemented
39#16811367C2212yescomplemented
40#16811365C2212yescomplemented
41#16811365C2212yescomplemented
42#16811363C2214yescomplemented
43#16811361C2214yescomplemented
44#16811358C2212yescomplemented
45#16811357C2214yescomplemented
46#16811356C2212yescomplemented
47#16811356C2212yescomplemented
48#16811353C2212yescomplemented
49#16811339C2214yescomplemented
50#16811337C2214yescomplemented
51#16811336C2212yescomplemented
52#16811329C2212yescomplemented
53#16811329C2212yescomplemented
54#16811328C2212yescomplemented
55#16811327C2214yescomplemented
56#16811326C2214yescomplemented
57#16811326C2214yescomplemented
58#16811326C2212yescomplemented
59#16811325C2214yescomplemented
60#16811324C2214yescomplemented
61#16811324C2214yescomplemented
62#16811323C2214yescomplemented
63#16811321C2212yescomplemented
64#16811321C2214yescomplemented
65#16811319C2214yescomplemented
66#16811318C2214yescomplemented
67#16811316C2214yescomplemented
68#16811312C2212yescomplemented
69#16811311C2212yescomplemented
70#16811305C2214yescomplemented
71#16811301C2214yescomplemented
72#16811301C2214yescomplemented
73#16811300C2214yescomplemented
74#16811300C2214yescomplemented
75#16811300C2214yescomplemented
76#16811300C2214yescomplemented
77#16811298C2214yescomplemented
78#16811298C2214yescomplemented
79#16811296C2214yescomplemented
80#16811296C2214yescomplemented
81#16811294C2212yescomplemented
82#16811291C2212yescomplemented
83#16811283C2214yescomplemented
84#16811282C2212yescomplemented
85#16811279C2212yescomplemented
86#16811276C2212yescomplemented
87#16811276C2214yescomplemented
88#16811275C2214yescomplemented
89#16811275C2214yescomplemented
90#16811275C2214yescomplemented
91#16811274C2212yescomplemented
92#16811274C2214yescomplemented
93#16811274C2212yescomplemented
94#16811274C2214yescomplemented
95#16811272C2214yescomplemented
96#16811271C2214yescomplemented
97#16811271C2214yescomplemented
98#16811270C2212yescomplemented
99#16811270C2214yescomplemented
100#16811270C2214yescomplemented
101#16811269C2214yescomplemented
102#16811269C2212yescomplemented
103#16811268C2212yescomplemented
104#16811268C2214yescomplemented
105#16811268C2212yescomplemented
106#16811265C2214yescomplemented
107#16811265C2214yescomplemented
108#16811265C2214yescomplemented
109#16811265C2214yescomplemented
110#16811265C2214yescomplemented
111#16811265C2214yescomplemented
112#16811264C2214yescomplemented
113#16811264C2214yescomplemented
114#16811264C2214yescomplemented
115#16811264C2214yescomplemented
116#16811262C2214yescomplemented
117#16811262C2214yescomplemented
118#16811261C2214yescomplemented
119#16811261C2214yescomplemented
120D4×D212C2212yescomplemented
121D4×D212C2212yescomplemented
122#16811257C2214yescomplemented
123#16811257C2212yescomplemented
124#16811257C2212yescomplemented
125#16811257C2214yescomplemented
126#16811257C2212yescomplemented
127#16811253C2212yescomplemented
128#16811250C2214yescomplemented
129#16811247C2212yescomplemented
130#16811247C2212yescomplemented
131#16811246C2214yescomplemented
132#16811244C2212yescomplemented
133#16811243C2214yescomplemented
134#16811243C2214yescomplemented
135#16811243C2214yescomplemented
136#16811243C2214yescomplemented
137#16811241C2214yescomplemented
138#16811240C2212yescomplemented
139#16811229C2212yescomplemented
140#16811229C2212yescomplemented
141#16811226C2212yescomplemented
142#16811225C2214yescomplemented
143#16811225C2214yescomplemented
144#16811222C2214yescomplemented
145#16811221C2214yescomplemented
146#16811220C2212yescomplemented
147#16811214C2214yescomplemented
148#16811214C2214yescomplemented
149#16811213C2212yescomplemented
150#16811213C2214yescomplemented
151#16811212C2214yescomplemented
152#16811212C2214yescomplemented
153#16811212C2214yescomplemented
154#16811210C2212yescomplemented
155#16811210C2214yescomplemented
156#16811209C2214yescomplemented
157#16811209C2214yescomplemented
158#16811206C2214yescomplemented
159#16811205C2214yescomplemented
160#16811204C2212yescomplemented
161#16811203C2214yescomplemented
162#16811198C2214yescomplemented
163#16811196C2214yescomplemented
164#16811192C2212yescomplemented
165#16811189C2214yescomplemented
166#16811186C2212yescomplemented
167#16811184C2214yescomplemented
168#16811184C2214yescomplemented
169#16811184C2214yescomplemented
170#16811181C2214yescomplemented
171#16811181C2214yescomplemented
172#16811181C2212yescomplemented
173#16811181C2212yescomplemented
174#16811174C2212yescomplemented
175#16811174C2211yescharacteristic, complemented
176#16811173C2211yescharacteristic, complemented
177#16811172C2212yescomplemented
178#16811171C2211yescharacteristic, complemented
179#16811170C2212yescomplemented
180#16811170C2212yescomplemented
181#16811170C2212yescomplemented
182#16811169C2214yescomplemented
183#16811169C2212yescomplemented
184#16811168C2212yescomplemented
185#16811168C2212yescomplemented
186C4⋊Q8×D53C2211yescharacteristic, complemented
187#127×D53C2211yescharacteristic, complemented
188#16811160C2211yescharacteristic, complemented
189#16811159C2211yescharacteristic, complemented
190#16811158C2212yescomplemented
191#16811158C2212yescomplemented
192#16811158C2212yescomplemented
193#16811158C2212yescomplemented
194#16811158C2211yescharacteristic, complemented
195#16811158C2212yescomplemented
196#16811158C2212yescomplemented
197#16811158C2212yescomplemented
198#16811158C2212yescomplemented
199#16811158C2212yescomplemented
200#16811157C2211yescharacteristic, complemented
201#16811156C2212yescomplemented
202#16811155C2212yescomplemented
203#16811155C2211yescharacteristic, complemented
204#16811154C2211yescharacteristic, complemented
205#16811153C2212yescomplemented
206#16811152C2211yescharacteristic, complemented
207#16811151C2212yescomplemented
208#16811150C2214yescomplemented
209#16811150C2212yescomplemented
210C2×#13133212C2212yescomplemented
211#126×D53C2212yescomplemented
212#125×D53C2211yescharacteristic, complemented
213C2×#13133205C2211yescharacteristic, complemented
214#124×D53C2212yescomplemented
215#124×D53C2211yescharacteristic, complemented
216#16811136C2214yescomplemented
217#16811135C2212yescomplemented
218#16811133C2212yescomplemented
219#16811132C2214yescomplemented
220#16811132C2214yescomplemented
221C2×#13133202C2212yescomplemented
222C2×#13133202C2214yescomplemented
223#123×D53C2212yescomplemented
224#123×D53C2214yescomplemented
225C2×#13133197C2211yescharacteristic, complemented
226C22⋊Q8×D53C2211yescharacteristic, complemented
227C2×#13133192C2211yescharacteristic
228C2×#13133192C2212yescomplemented
229#121×D53C2211yescharacteristic
230#121×D53C2212yescomplemented
231#121×D53C2212yescomplemented
232#121×D53C2214yescomplemented
233#121×D53C2212yescomplemented
234#16811104C2212yescomplemented
235#16811104C2214yescomplemented
236#16811102C2212yescomplemented
237#16811097C2212yescomplemented
238#16811095C2214yescomplemented
239#16811095C2214yescomplemented
240#16811095C2212yescomplemented
241C2×#13133182C2211yescharacteristic, complemented
242C4×Q8×D53C2211yescharacteristic, complemented
243C2×#13133179C2212yescomplemented
244C2×#13133179C2211yescharacteristic, complemented
245C4×D4×D53C2212yescomplemented
246C4×D4×D53C2212yescomplemented
247C4×D4×D53C2212yescomplemented
248C4×D4×D53C2211yescharacteristic, complemented
249C2×#13133175C2212yescomplemented
250#117×D53C2212yescomplemented
251C2×C42×D53C2211yescharacteristic, complemented
252C53×#563C2212yescomplemented
253C53×#562C2212yescomplemented
254C53×#554C2212yescomplemented
255C53×#553C2212yescomplemented
256C53×#553C2212yescomplemented
257C53×#547C2212yescomplemented
258C53×#547C2214yescomplemented
259C53×#544C2212yescomplemented
260C53×#540C2212yescomplemented
261C53×#539C2212yescomplemented
262C53×#539C2214yescomplemented
263C53×#537C2212yescomplemented
264C53×#532C2211yescharacteristic, complemented
265C53×#529C2211yescharacteristic, complemented
266C2×#125×C53C2211yescharacteristic, complemented
267#13133263—416no—
268C2×#11719949C2314yes—
269C2×#11719949C2312yes—
270C2×#11719949C2314yes—
271C2×#11719945C2312yes—
272C2×#11719945C2314yes—
273C2×#11719945C2314yes—
274C2×#11719945C2314yes—
275C2×#11719945C2314yes—
276C2×#11719945C2312yes—
277C2×#11719945C2314yes—
278C2×#11719947C2312yes—
279C2×#11719947C2314yes—
280C2×#11719947C2312yes—
281#41×D53—48no—
282C22×Dic106C2311yescharacteristic
283C2×Q8×D53C2311yescharacteristic
284C2×Q8×D53C2312yes—
285C22×D212C2312yes—
286C22×D212C2314yes—
287C22×D212C2314yes—
288C22×D212C2312yes—
289C22×D212C2311yescharacteristic
290C2×D4×D53C2312yes—
291C2×D4×D53C2314yes—
292C2×D4×D53C2312yes—
293C2×D4×D53C2314yes—
294C2×D4×D53C2314yes—
295C2×D4×D53C2314yes—
296C2×D4×D53C2314yes—
297C2×D4×D53C2314yes—
298C2×D4×D53C2312yes—
299C2×D4×D53C2312yes—
300C2×D4×D53C2311yescharacteristic
301C2×D4×D53C2312yes—
302C22×C4×D53C2311yescharacteristic
303C22×C4×D53C2311yescharacteristic
304C22×C4×D53C2311yescharacteristic
305C22×C4×D53C2312yes—
306C22×C4×D53C2312yes—
307C22×C4×D53C2314yes—
308#13133217C2311yescharacteristic
309#13133216C2314yes—
310#13133216C2314yes—
311#13133216C2312yes—
312#13133216C2312yes—
313#13133216C2312yes—
314#13133215C2314yes—
315#13133215C2314yes—
316#13133215C2312yes—
317#13133214C2312yes—
318#13133214C2311yescharacteristic
319#13133213C2312yes—
320#13133213C2314yes—
321#13133213C2312yes—
322#13133213C2312yes—
323#13133213C2312yes—
324#13133212C2314yes—
325#13133212C2314yes—
326#13133212C2314yes—
327#13133212C2314yes—
328#13133212C2312yes—
329#13133212C2314yes—
330#13133212C2314yes—
331#13133212C2314yes—
332#13133212C2314yes—
333#13133212C2314yes—
334#13133212C2312yes—
335#13133212C2312yes—
336#13133212C2314yes—
337#13133212C2314yes—
338#13133211C2312yes—
339#13133210C2314yes—
340#13133210C2314yes—
341#13133210C2312yes—
342#13133210C2314yes—
343#13133210C2312yes—
344#13133210C2312yes—
345#13133209C2314yes—
346#13133209C2311yescharacteristic
347#13133208C2314yes—
348#13133208C2312yes—
349#13133208C2311yescharacteristic
350#13133208C2311yescharacteristic
351#13133207C2314yes—
352#13133207C2314yes—
353#13133207C2312yes—
354#13133207C2312yes—
355#13133206C2314yes—
356#13133206C2314yes—
357#13133206C2314yes—
358#13133206C2314yes—
359#13133206C2312yes—
360#13133206C2311yescharacteristic
361#13133205C2314yes—
362#13133205C2312yes—
363#13133205C2312yes—
364#13133205C2312yes—
365#13133205C2311yescharacteristic
366#13133205C2312yes—
367#13133205C2312yes—
368#13133205C2312yes—
369#13133204C2314yes—
370#13133204C2312yes—
371#13133204C2312yes—
372#13133204C2311yescharacteristic
373#13133203C2314yes—
374#13133203C2312yes—
375#13133203C2314yes—
376#13133203C2314yes—
377#13133203C2314yes—
378#13133203C2314yes—
379#13133203C2314yes—
380#13133203C2314yes—
381#13133203C2312yes—
382#13133203C2314yes—
383#13133203C2314yes—
384#13133202C2314yes—
385#13133202C2314yes—
386#13133202C2314yes—
387#13133202C2314yes—
388#13133202C2314yes—
389#13133202C2314yes—
390#13133202C2314yes—
391#13133202C2314yes—
392#13133202C2314yes—
393#13133202C2314yes—
394#13133202C2314yes—
395#13133202C2314yes—
396#13133202C2314yes—
397#13133202C2314yes—
398#13133202C2314yes—
399#13133202C2314yes—
400#13133202C2314yes—
401#13133202C2314yes—
402#13133202C2314yes—
403#13133202C2314yes—
404#13133202C2312yes—
405#13133202C2312yes—
406#13133202C2314yes—
407#13133201C2312yes—
408#13133201C2314yes—
409#13133201C2314yes—
410#13133201C2314yes—
411#13133201C2314yes—
412#13133200C2314yes—
413#13133200C2314yes—
414#13133200C2312yes—
415#13133200C2314yes—
416#13133200C2314yes—
417#13133199C2314yes—
418#13133199C2314yes—
419#13133199C2314yes—
420#13133199C2314yes—
421#13133199C2314yes—
422#13133199C2314yes—
423#13133199C2314yes—
424#13133199C2314yes—
425#13133199C2312yes—
426#13133199C2312yes—
427#13133198C2312yes—
428#13133198C2314yes—
429#13133197C2312yes—
430#13133197C2314yes—
431#13133197C2312yes—
432#13133197C2314yes—
433#13133197C2314yes—
434#13133197C2312yes—
435#13133197C2311yescharacteristic
436#13133197C2312yes—
437#13133197C2312yes—
438#13133196C2314yes—
439#13133196C2312yes—
440#13133196C2311yescharacteristic
441#13133195C2312yes—
442#13133195C2314yes—
443#13133195C2314yes—
444#13133195C2314yes—
445#13133195C2314yes—
446#13133195C2314yes—
447#13133195C2314yes—
448#13133195C2314yes—
449#13133195C2314yes—
450#13133195C2314yes—
451#13133195C2314yes—
452#13133194C2314yes—
453#13133194C2314yes—
454#13133194C2312yes—
455#13133193C2314yes—
456#13133193C2314yes—
457#13133193C2314yes—
458#13133193C2311yescharacteristic
459#13133192C2311yescharacteristic
460#13133192C2312yes—
461#13133192C2314yes—
462#13133192C2312yes—
463#13133192C2314yes—
464#13133192C2314yes—
465#13133192C2314yes—
466#13133192C2314yes—
467#13133192C2314yes—
468#13133192C2314yes—
469#13133192C2314yes—
470#13133192C2314yes—
471#13133192C2314yes—
472#13133192C2314yes—
473#13133192C2312yes—
474#13133192C2312yes—
475#13133192C2312yes—
476#13133192C2312yes—
477#13133192C2312yes—
478#13133192C2312yes—
479#13133192C2312yes—
480#13133191C2314yes—
481#13133191C2314yes—
482#13133191C2314yes—
483#13133191C2314yes—
484#13133191C2312yes—
485#13133191C2312yes—
486#13133191C2314yes—
487#13133191C2311yescharacteristic
488#13133191C2312yes—
489#13133190C2314yes—
490#13133190C2314yes—
491#13133190C2314yes—
492#13133190C2314yes—
493#13133190C2314yes—
494#13133190C2314yes—
495#13133190C2314yes—
496#13133190C2312yes—
497#13133190C2314yes—
498#13133190C2314yes—
499#13133190C2314yes—
500#13133190C2314yes—
501#13133190C2314yes—
502#13133189C2314yes—
503#13133189C2314yes—
504#13133189C2314yes—
505#13133189C2314yes—
506#13133189C2314yes—
507#13133189C2314yes—
508#13133189C2314yes—
509#13133189C2314yes—
510#13133189C2312yes—
511#13133189C2314yes—
512#13133188C2311yescharacteristic
513#13133188C2312yes—
514#13133188C2314yes—
515#13133188C2314yes—
516#13133188C2312yes—
517#13133187C2314yes—
518#13133187C2314yes—
519#13133187C2314yes—
520#13133187C2314yes—
521#13133187C2314yes—
522#13133187C2314yes—
523#13133187C2314yes—
524#13133187C2314yes—
525#13133187C2314yes—
526#13133187C2314yes—
527#13133187C2314yes—
528#13133187C2314yes—
529#13133185C2314yes—
530#13133185C2314yes—
531#13133185C2314yes—
532#13133185C2314yes—
533#13133185C2314yes—
534#13133185C2314yes—
535#13133185C2314yes—
536#13133185C2314yes—
537Q8×Dic53C2311yescharacteristic
538C4×Dic106C2312yes—
539C4×Dic106C2312yes—
540C4×Dic106C2311yescharacteristic
541#13133182C2312yes—
542#13133182C2314yes—
543#13133182C2312yes—
544#13133182C2312yes—
545#13133182C2312yes—
546#13133182C2311yescharacteristic
547#13133182C2312yes—
548#13133182C2312yes—
549C4×D212C2311yescharacteristic
550C4×D212C2312yes—
551C4×D212C2314yes—
552C4×D212C2314yes—
553C4×D212C2312yes—
554C4×D212C2312yes—
555C4×D212C2314yes—
556C4×D212C2314yes—
557C4×D212C2312yes—
558D4×Dic53C2314yes—
559D4×Dic53C2312yes—
560D4×Dic53C2314yes—
561D4×Dic53C2312yes—
562D4×Dic53C2312yes—
563D4×Dic53C2311yescharacteristic
564#13133179C2312yes—
565#13133179C2314yes—
566#13133179C2314yes—
567#13133179C2314yes—
568#13133179C2314yes—
569#13133179C2312yes—
570#13133179C2314yes—
571#13133179C2314yes—
572#13133179C2314yes—
573#13133179C2312yes—
574#13133179C2312yes—
575#13133179C2312yes—
576#13133179C2314yes—
577#13133179C2312yes—
578#13133179C2312yes—
579#13133179C2312yes—
580#13133179C2311yescharacteristic
581#13133179C2312yes—
582#13133179C2312yes—
583C4×C22⋊D53C2314yes—
584C4×C22⋊D53C2314yes—
585C4×C22⋊D53C2314yes—
586C4×C22⋊D53C2314yes—
587C4×C22⋊D53C2312yes—
588C4×C22⋊D53C2312yes—
589C4×C22⋊D53C2314yes—
590C4×C22⋊D53C2314yes—
591C4×C22⋊D53C2314yes—
592C4×C22⋊D53C2314yes—
593C4×C22⋊D53C2314yes—
594C4×C22⋊D53C2312yes—
595C4×C22⋊D53C2314yes—
596C4×C22⋊D53C2314yes—
597C4×C22⋊D53C2314yes—
598#13133177C2312yes—
599#13133177C2312yes—
600#13133177C2314yes—
601#13133177C2314yes—
602#13133177C2314yes—
603#13133177C2314yes—
604#13133177C2314yes—
605#13133177C2314yes—
606#13133177C2312yes—
607#13133177C2314yes—
608#13133176C2314yes—
609#13133176C2312yes—
610#13133175C2312yes—
611#13133175C2314yes—
612#13133175C2314yes—
613#13133175C2314yes—
614#13133175C2314yes—
615#13133175C2314yes—
616#13133175C2312yes—
617#13133175C2312yes—
618#13133175C2314yes—
619#13133175C2314yes—
620#13133174C2314yes—
621#13133174C2314yes—
622#13133174C2312yes—
623#13133174C2312yes—
624#13133173C2312yes—
625#13133173C2314yes—
626#13133173C2312yes—
627C2×C4⋊Dic53C2312yes—
628C2×#11719919C2312yes—
629C2×#11719919C2314yes—
630C4⋊C4×D53C2312yes—
631C4⋊C4×D53C2314yes—
632C4⋊C4×D53C2312yes—
633C4⋊C4×D53C2314yes—
634C4⋊C4×D53C2312yes—
635C4⋊C4×D53C2312yes—
636C4⋊C4×D53C2311yescharacteristic
637C4⋊C4×D53C2312yes—
638C4⋊C4×D53C2314yes—
639C4⋊C4×D53C2312yes—
640C4⋊C4×D53C2311yescharacteristic
641C4⋊C4×D53C2312yes—
642C2×#11719921C2312yes—
643C2×#11719921C2312yes—
644C2×#11719921C2314yes—
645C2×#11719921C2314yes—
646C2×#11719921C2314yes—
647C2×#11719921C2314yes—
648C2×#11719921C2312yes—
649C2×#11719921C2312yes—
650C2×#11719921C2312yes—
651C22⋊C4×D53C2312yes—
652C22⋊C4×D53C2312yes—
653C22⋊C4×D53C2314yes—
654C22⋊C4×D53C2314yes—
655C22⋊C4×D53C2314yes—
656C22⋊C4×D53C2314yes—
657C22⋊C4×D53C2314yes—
658C22⋊C4×D53C2314yes—
659C22⋊C4×D53C2312yes—
660C22⋊C4×D53C2314yes—
661C22⋊C4×D53C2314yes—
662C22⋊C4×D53C2312yes—
663C22⋊C4×D53C2312yes—
664C2×C4×Dic53C2311yescharacteristic
665C2×C4×Dic53C2311yescharacteristic
666C2×C4×Dic53C2311yescharacteristic
667C2×C4×Dic53C2312yes—
668C42×D53C2311yescharacteristic
669C42×D53C2311yescharacteristic
670C42×D53C2311yescharacteristic
671C42×D53C2311yescharacteristic
672C42×D53C2311yescharacteristic
673C42×D53C2311yescharacteristic
674C42×D53C2311yescharacteristic
675C42×D53C2311yescharacteristic
676C42×D53C2312yes—
677C2×#41×C53C2314yes—
678C2×#41×C53C2312yes—
679C4⋊Q8×C53C2312yes—
680C4⋊Q8×C53C2314yes—
681C4⋊Q8×C53C2311yescharacteristic
682#127×C53C2311yescharacteristic
683#126×C53C2314yes—
684#126×C53C2314yes—
685#126×C53C2312yes—
686#125×C53C2314yes—
687#125×C53C2312yes—
688#125×C53C2312yes—
689#125×C53C2312yes—
690#125×C53C2312yes—
691#125×C53C2311yescharacteristic
692#125×C53C2312yes—
693#124×C53C2311yescharacteristic
694#124×C53C2312yes—
695#123×C53C2312yes—
696#123×C53C2314yes—
697#123×C53C2314yes—
698#123×C53C2314yes—
699#123×C53C2314yes—
700#123×C53C2314yes—
701#123×C53C2314yes—
702C22⋊Q8×C53C2314yes—
703C22⋊Q8×C53C2314yes—
704C22⋊Q8×C53C2314yes—
705C22⋊Q8×C53C2314yes—
706C22⋊Q8×C53C2314yes—
707C22⋊Q8×C53C2314yes—
708C22⋊Q8×C53C2311yescharacteristic
709#121×C53C2314yes—
710#121×C53C2314yes—
711#121×C53C2312yes—
712#121×C53C2312yes—
713#121×C53C2312yes—
714#121×C53C2311yescharacteristic
715#121×C53C2312yes—
716#121×C53C2314yes—
717#121×C53C2314yes—
718C4×Q8×C53C2311yescharacteristic
719C4×D4×C53C2312yes—
720C4×D4×C53C2312yes—
721C4×D4×C53C2314yes—
722C4×D4×C53C2311yescharacteristic
723C4×D4×C53C2314yes—
724C4×D4×C53C2312yes—
725C4×D4×C53C2312yes—
726C4×D4×C53C2312yes—
727#117×C53C2312yes—
728#117×C53C2312yes—
729C2×C4⋊C4×C53C2312yes—
730C2×C4⋊C4×C53C2311yescharacteristic
731C2×C4⋊C4×C53C2314yes—
732C2×C4⋊C4×C53C2312yes—
733C2×C4⋊C4×C53C2312yes—
734C2×C4⋊C4×C53C2311yescharacteristic
735C2×C42×C53C2311yescharacteristic
736C23×D53C2412yes—
737C23×D53C2414yes—
738C23×D53C2412yes—
739C23×D53C2414yes—
740C23×D53C2414yes—
741C23×D53C2411yescharacteristic
742#41×C53—44no—
743#41×C53—48no—
744C2×Q8×C53C2411yescharacteristic
745C2×Q8×C53C2414yes—
746C2×Q8×C53C2412yes—
747C2×D4×C53C2412yes—
748C2×D4×C53C2414yes—
749C2×D4×C53C2412yes—
750C2×D4×C53C2414yes—
751C2×D4×C53C2411yescharacteristic
752C2×D4×C53C2412yes—
753C2×D4×C53C2414yes—
754C2×D4×C53C2412yes—
755C22×C4×C53C2411yescharacteristic
756C22×C4×C53C2411yescharacteristic
757C22×C4×C53C2412yes—
758C22×C4×C53C2412yes—
759C22×C4×C53C2411yescharacteristic
760C22×C4×C53C2412yes—
761C22×C4×C53C2414yes—
762C22×C4×C53C2414yes—
763C22×C4×C53C2414yes—
764C22×C4×C53C2414yes—
765C2×C22⋊D53C2414yes—
766C2×C22⋊D53C2412yes—
767C2×C22⋊D53C2412yes—
768C2×C22⋊D53C2414yes—
769C2×C22⋊D53C2414yes—
770C2×C22⋊D53C2412yes—
771C2×C22⋊D53C2414yes—
772C2×C22⋊D53C2414yes—
773C2×C22⋊D53C2414yes—
774C2×C22⋊D53C2414yes—
775C2×C22⋊D53C2414yes—
776C2×C22⋊D53C2414yes—
777C2×C22⋊D53C2414yes—
778C2×C22⋊D53C2414yes—
779C22×Dic53C2411yescharacteristic
780C22×Dic53C2411yescharacteristic
781C22×Dic53C2411yescharacteristic
782C22×Dic53C2412yes—
783C22×Dic53C2414yes—
784C22×Dic53C2412yes—
785C22×Dic53C2414yes—
786#11719949—44no—
787#11719949—48no—
788#11719949—48no—
789Q8×D53—42no—
790Q8×D53—44no—
791#11719947—44no—
792#11719947—44no—
793#11719947—48no—
794D4×D53—216no—
795D4×D53—28no—
796D4×D53—44no—
797D4×D53—44no—
798D4×D53—48no—
799D4×D53—44no—
800D4×D53—42no—
801D4×D53—44no—
802D4×D53—48no—
803D4×D53—48no—
804D4×D53—48no—
805D4×D53—48no—
806#11719945—48no—
807#11719945—44no—
808#11719945—48no—
809#11719945—48no—
810#11719945—48no—
811#11719945—44no—
812#11719945—48no—
813C2×D212—28no—
814C2×D212—42no—
815C2×D212—44no—
816C2×D212—48no—
817C2×D212—48no—
818C2×D212C2412yes—
819C2×D212C2412yes—
820C2×D212C2414yes—
821C2×D212C2414yes—
822C2×D212C2412yes—
823C2×D212C2414yes—
824C2×D212C2414yes—
825C2×D212C2412yes—
826C2×D212C2411yescharacteristic
827C2×D212C2414yes—
828C2×D212C2412yes—
829C2×D212C2414yes—
830C2×D212C2414yes—
831C2×D212C2412yes—
832C2×D212C2414yes—
833C2×D212C2414yes—
834C2×C4×D53—24no—
835C2×C4×D53—44no—
836C2×C4×D53—42no—
837C2×C4×D53—42no—
838C2×C4×D53—44no—
839C2×C4×D53—48no—
840C2×C4×D53C2411yescharacteristic
841C2×C4×D53C2411yescharacteristic
842C2×C4×D53C2411yescharacteristic
843C2×C4×D53C2411yescharacteristic
844C2×C4×D53C2411yescharacteristic
845C2×C4×D53C2411yescharacteristic
846C2×C4×D53C2411yescharacteristic
847C2×C4×D53C2411yescharacteristic
848C2×C4×D53C2412yes—
849C2×C4×D53C2414yes—
850C2×C4×D53C2412yes—
851C2×C4×D53C2414yes—
852C2×C4×D53C2411yescharacteristic
853C2×C4×D53C2411yescharacteristic
854C2×C4×D53C2411yescharacteristic
855C2×C4×D53C2411yescharacteristic
856C2×C4×D53C2412yes—
857C2×C4×D53C2412yes—
858C2×C4×D53C2414yes—
859C2×C4×D53C2414yes—
860C2×C4×D53C2412yes—
861C2×C4×D53C2414yes—
862C2×C4×D53C2414yes—
863C2×C4×D53C2414yes—
864C2×C4×D53C2414yes—
865C2×C4×D53C2414yes—
866C2×C4×D53C2414yes—
867C2×C4×D53C2414yes—
868C2×Dic106—42no—
869C2×Dic106C2412yes—
870C2×Dic106C2412yes—
871C2×Dic106C2412yes—
872C2×Dic106C2411yescharacteristic
873C2×Dic106C2414yes—
874C2×Dic106C2412yes—
875C2×Dic106C2414yes—
876C4⋊C4×C53C2412yes—
877C4⋊C4×C53C2414yes—
878C4⋊C4×C53C2412yes—
879C4⋊C4×C53C2412yes—
880C4⋊C4×C53C2412yes—
881C4⋊C4×C53C2414yes—
882C4⋊C4×C53C2414yes—
883C4⋊C4×C53C2414yes—
884C4⋊C4×C53C2414yes—
885C4⋊C4×C53C2412yes—
886C4⋊C4×C53C2414yes—
887C4⋊C4×C53C2414yes—
888C4⋊C4×C53C2412yes—
889C4⋊C4×C53C2412yes—
890C4⋊C4×C53C2412yes—
891C4⋊C4×C53C2412yes—
892C4⋊C4×C53C2414yes—
893C4⋊C4×C53C2412yes—
894C4⋊C4×C53C2411yescharacteristic
895C4⋊C4×C53C2411yescharacteristic
896C22⋊C4×C53C2412yes—
897C22⋊C4×C53C2414yes—
898C22⋊C4×C53C2412yes—
899C22⋊C4×C53C2412yes—
900C22⋊C4×C53C2412yes—
901C22⋊C4×C53C2414yes—
902C22⋊C4×C53C2414yes—
903C22⋊C4×C53C2414yes—
904C22⋊C4×C53C2414yes—
905C22⋊C4×C53C2414yes—
906C22⋊C4×C53C2414yes—
907C22⋊C4×C53C2412yes—
908C42×C53C2411yescharacteristic
909C42×C53C2411yescharacteristic
910C42×C53C2411yescharacteristic
911C42×C53C2411yescharacteristic
912C42×C53C2412yes—
913C42×C53C2414yes—
914C22⋊Dic53C2412yes—
915C22⋊Dic53C2412yes—
916C22⋊Dic53C2414yes—
917C22⋊Dic53C2414yes—
918C22⋊Dic53C2412yes—
919C22⋊Dic53C2412yes—
920C22⋊Dic53C2412yes—
921C22⋊Dic53C2414yes—
922C22⋊Dic53C2414yes—
923C22⋊Dic53C2414yes—
924#11719921C2412yes—
925#11719921C2412yes—
926#11719921C2414yes—
927#11719921C2414yes—
928#11719921C2412yes—
929#11719921C2414yes—
930#11719921C2412yes—
931#11719921C2414yes—
932#11719921C2414yes—
933#11719921C2414yes—
934#11719921C2412yes—
935#11719921C2414yes—
936#11719921C2414yes—
937#11719921C2412yes—
938#11719921C2412yes—
939#11719921C2414yes—
940#11719921C2412yes—
941#11719921C2414yes—
942#11719921C2412yes—
943#11719921C2412yes—
944#11719921C2414yes—
945#11719921C2414yes—
946#11719921C2414yes—
947#11719921C2414yes—
948#11719921C2414yes—
949#11719921C2414yes—
950#11719921C2414yes—
951#11719921C2414yes—
952#11719921C2414yes—
953#11719921C2414yes—
954#11719921C2414yes—
955#11719921C2414yes—
956#11719921C2414yes—
957#11719921C2414yes—
958#11719921C2414yes—
959#11719921C2414yes—
960C4⋊Dic53C2412yes—
961C4⋊Dic53C2412yes—
962C4⋊Dic53C2414yes—
963C4⋊Dic53C2412yes—
964C4⋊Dic53C2412yes—
965C4⋊Dic53C2412yes—
966C4⋊Dic53C2411yescharacteristic
967C4⋊Dic53C2411yescharacteristic
968C4⋊Dic53C2412yes—
969C4⋊Dic53C2414yes—
970C4⋊Dic53C2414yes—
971C4⋊Dic53C2414yes—
972#11719919C2412yes—
973#11719919C2412yes—
974#11719919C2414yes—
975#11719919C2412yes—
976#11719919C2414yes—
977#11719919C2414yes—
978#11719919C2412yes—
979#11719919C2412yes—
980#11719919C2412yes—
981#11719919C2412yes—
982#11719919C2414yes—
983#11719919C2412yes—
984#11719919C2412yes—
985#11719919C2414yes—
986#11719919C2414yes—
987#11719919C2412yes—
988#11719919C2414yes—
989#11719919C2414yes—
990#11719919C2414yes—
991#11719919C2414yes—
992C4×Dic53C2411yescharacteristic
993C4×Dic53C2411yescharacteristic
994C4×Dic53C2411yescharacteristic
995C4×Dic53C2411yescharacteristic
996C4×Dic53C2411yescharacteristic
997C4×Dic53C2411yescharacteristic
998C4×Dic53C2411yescharacteristic
999C4×Dic53C2411yescharacteristic
1000C4×Dic53C2411yescharacteristic
1001C4×Dic53C2411yescharacteristic
1002C4×Dic53C2411yescharacteristic
1003C4×Dic53C2411yescharacteristic
1004C4×Dic53C2412yes—
1005C4×Dic53C2412yes—
1006C4×Dic53C2412yes—
1007C4×Dic53C2414yes—
1008C4×Dic53C2414yes—
1009C4×Dic53C2414yes—
1010C4×Dic53C2414yes—
1011C4×Dic53C2414yes—
1012C23×C53C2514yes—
1013C23×C53C2512yes—
1014C23×C53C2511yescharacteristic
1015C22×D53—24no—
1016C22×D53—28no—
1017C22×D53—24no—
1018C22×D53—41no—
1019C22×D53—41no—
1020C22×D53—42no—
1021C22×D53—42no—
1022C22×D53—42no—
1023C22×D53—42no—
1024C22×D53—44no—
1025C22×D53—44no—
1026C22×D53—44no—
1027C22×D53—44no—
1028C22×D53—44no—
1029C22×D53—44no—
1030C22×D53—44no—
1031C22×D53—44no—
1032C22×D53H(5,𝔽2)14yes—
1033C22×D53C2514yes—
1034C22×D53C2514yes—
1035C22×D53C2512yes—
1036C22×D53C2511yescharacteristic
1037C22×D53C2511yescharacteristic
1038Q8×C53—42no—
1039Q8×C53—41no—
1040Q8×C53—44no—
1041D4×C53—24no—
1042D4×C53—28no—
1043D4×C53—24no—
1044D4×C53—44no—
1045D4×C53—42no—
1046D4×C53—41no—
1047D4×C53—44no—
1048D4×C53—42no—
1049C2×C4×C53—22no—
1050C2×C4×C53—24no—
1051C2×C4×C53—22no—
1052C2×C4×C53—24no—
1053C2×C4×C53—44no—
1054C2×C4×C53—41no—
1055C2×C4×C53—42no—
1056C2×C4×C53—44no—
1057C2×C4×C53—44no—
1058C2×C4×C53—44no—
1059C2×C4×C53C2511yescharacteristic
1060C2×C4×C53C2511yescharacteristic
1061C2×C4×C53C2514yes—
1062C2×C4×C53C2514yes—
1063C2×C4×C53C2511yescharacteristic
1064C2×C4×C53C2512yes—
1065C2×C4×C53C2511yescharacteristic
1066C2×C4×C53C2512yes—
1067C2×C4×C53C2512yes—
1068C2×C4×C53C2514yes—
1069C2×C4×C53C2511yescharacteristic
1070C2×C4×C53C2511yescharacteristic
1071C22⋊D53—24no—
1072C22⋊D53—28no—
1073C22⋊D53—24no—
1074C22⋊D53—28no—
1075C22⋊D53—28no—
1076C22⋊D53—24no—
1077C22⋊D53—44no—
1078C22⋊D53—44no—
1079C22⋊D53—44no—
1080C22⋊D53—44no—
1081C22⋊D53—44no—
1082C22⋊D53—44no—
1083C22⋊D53—44no—
1084C22⋊D53—44no—
1085C2×Dic53—22no—
1086C2×Dic53—22no—
1087C2×Dic53—42no—
1088C2×Dic53—44no—
1089C2×Dic53—42no—
1090C2×Dic53—41no—
1091C2×Dic53—44no—
1092C2×Dic53C2511yescharacteristic
1093C2×Dic53C2514yes—
1094C2×Dic53C2512yes—
1095C2×Dic53C2512yes—
1096C2×Dic53C2514yes—
1097C2×Dic53C2511yescharacteristic
1098C2×Dic53C2511yescharacteristic
1099C2×Dic53C2511yescharacteristic
1100C2×Dic53C2512yes—
1101C2×Dic53C2511yescharacteristic
1102C2×Dic53C2511yescharacteristic
1103D212—28no—
1104D212—28no—
1105D212—24no—
1106D212—28no—
1107D212—24no—
1108D212—24no—
1109D212—44no—
1110D212—42no—
1111D212—44no—
1112D212—44no—
1113D212—44no—
1114D212—44no—
1115D212—42no—
1116D212—41no—
1117D212—44no—
1118D212—42no—
1119C4×D53—22no—
1120C4×D53—22no—
1121C4×D53—22no—
1122C4×D53—22no—
1123C4×D53—28no—
1124C4×D53—24no—
1125C4×D53—22no—
1126C4×D53—22no—
1127C4×D53—24no—
1128C4×D53—28no—
1129C4×D53—22no—
1130C4×D53—22no—
1131C4×D53—41no—
1132C4×D53—42no—
1133C4×D53—42no—
1134C4×D53—41no—
1135C4×D53—41no—
1136C4×D53—44no—
1137C4×D53—41no—
1138C4×D53—44no—
1139C4×D53—44no—
1140C4×D53—44no—
1141C4×D53—44no—
1142C4×D53—44no—
1143C4×D53—44no—
1144C4×D53—44no—
1145C4×D53—44no—
1146C4×D53—42no—
1147Dic106—24no—
1148Dic106—24no—
1149Dic106—42no—
1150Dic106—44no—
1151Dic106—44no—
1152Dic106—42no—
1153Dic106—41no—
1154#62822—531nomaximal, Sylow
1155C22×C53—21no—
1156C22×C53—21no—
1157C22×C53—24no—
1158C22×C53—22no—
1159C22×C53—24no—
1160C22×C53—22no—
1161C22×C53—24no—
1162C22×C53—22no—
1163C22×C53C2×H(5,𝔽2)12yes—
1164C22×C53C2611yescharacteristic
1165C2×D53—21no—
1166C2×D53—21no—
1167C2×D53—21no—
1168C2×D53—21no—
1169C2×D53—24no—
1170C2×D53—24no—
1171C2×D53—22no—
1172C2×D53—24no—
1173C2×D53—22no—
1174C2×D53—24no—
1175C2×D53—24no—
1176C2×D53—24no—
1177C2×D53—22no—
1178C2×D53—44no—
1179C2×D53—88no—
1180C2×D53—84no—
1181C2×D53—84no—
1182C2×D53—164no—
1183C2×D53—164no—
1184C2×D53C2×H(5,𝔽2)12yes—
1185C2×D53C2×H(5,𝔽2)12yes—
1186C4×C53—21no—
1187C4×C53—24no—
1188C4×C53—24no—
1189C4×C53—21no—
1190C4×C53—22no—
1191C4×C53—22no—
1192C4×C53—21no—
1193C4×C53—21no—
1194C4×C53—24no—
1195C4×C53—21no—
1196C4×C53—22no—
1197C4×C53#58512yes—
1198Dic53—21no—
1199Dic53—24no—
1200Dic53—22no—
1201Dic53—21no—
1202Dic53—22no—
1203Dic53—24no—
1204Dic53—21no—
1205Dic53—22no—
1206Dic53—21no—
1207Dic53—21no—
1208Dic53#58512yes—
1209#3560—534no—
1210#3560—532no—
1211#3560—532no—
1212#3559—532no—
1213#3559—531no—
1214#3559D5311yescharacteristic, complemented
1215#3558—532no—
1216#3558—531no—
1217#3558—531no—
1218#3545—532no—
1219#3545—532no—
1220#3544—532no—
1221#3543—532no—
1222#3522—532no—
1223#3522—532no—
1224#3519—532no—
1225#3519—532no—
1226#3513—532no—
1227#3513—532no—
1228#3513—534no—
1229#3505—532no—
1230#3505—532no—
1231#3496—532no—
1232#3496—532no—
1233#3494—534no—
1234#3494—532no—
1235#3494—532no—
1236#3485—534no—
1237C2×#532—531no—
1238C2×#529—531no—
1239C2×#529—531no—
1240C2×C53—22no—
1241C2×C53—42no—
1242C2×C53—44no—
1243C2×C53C22×H(5,𝔽2)11yescharacteristic
1244C2×C53C2×#58511yescharacteristic
1245C2×C53C2×#58511yescharacteristic
1246D53—22no—
1247D53—22no—
1248D53—44no—
1249D53—44no—
1250D53—42no—
1251C2×H(5,𝔽2)—534no—
1252C22×#41—532no—
1253#563—534no—
1254#563—532no—
1255#563—534no—
1256#563C2×D5312yescomplemented
1257#562—532no—
1258#562—532no—
1259#562—532no—
1260#562C2×D5312yescomplemented
1261H(3,𝔽4)—532no—
1262H(3,𝔽4)—532no—
1263#560—534no—
1264#560—534no—
1265#559—534no—
1266#559—532no—
1267#559—532no—
1268#559—532no—
1269Q82—532no—
1270#555—534no—
1271#555—534no—
1272#555—532no—
1273#554—532no—
1274#554—532no—
1275#554—534no—
1276#554—532no—
1277#554C2×D5312yescomplemented
1278#553—534no—
1279#553—534no—
1280#553—534no—
1281#553—534no—
1282#553—532no—
1283#553—534no—
1284#553—534no—
1285#553—534no—
1286#553—534no—
1287#553—534no—
1288#553—534no—
1289#553—532no—
1290#553C2×D5312yescomplemented
1291#553C2×D5312yescomplemented
1292#552—534no—
1293#552—532no—
1294#552—532no—
1295#551—534no—
1296#551—534no—
1297#551—534no—
1298#551—534no—
1299#551—534no—
1300#551—534no—
1301#551—534no—
1302#551—534no—
1303#551—534no—
1304#551—534no—
1305#550—532no—
1306#550—532no—
1307#548—534no—
1308#548—532no—
1309#548—532no—
1310#547—534no—
1311#547—534no—
1312#547—532no—
1313#547—534no—
1314#547—534no—
1315#547—534no—
1316#547—534no—
1317#547—534no—
1318#547—534no—
1319#547—534no—
1320#547—532no—
1321#547—532no—
1322#547C2×D5314yescomplemented
1323#547C2×D5312yescomplemented
1324#546—534no—
1325#546—534no—
1326#546—534no—
1327#546—534no—
1328#546—534no—
1329#546—534no—
1330#546—534no—
1331#546—534no—
1332#546—534no—
1333#546—534no—
1334#546—534no—
1335#546—534no—
1336#546—534no—
1337#546—534no—
1338#546—532no—
1339#546—534no—
1340#546—534no—
1341#546—534no—
1342#546—532no—
1343#546—532no—
1344#546—534no—
1345#546—532no—
1346D42—532no—
1347D42—534no—
1348D42—532no—
1349D42—534no—
1350D42—532no—
1351D42—532no—
1352D42—532no—
1353#544—534no—
1354#544—532no—
1355#544C2×D5312yescomplemented
1356#542—532no—
1357#542—532no—
1358#542—534no—
1359#542—534no—
1360#542—534no—
1361#542—534no—
1362#542—534no—
1363#542—534no—
1364#542—532no—
1365#542—532no—
1366#540—532no—
1367#540—532no—
1368#540—534no—
1369#540—534no—
1370#540—532no—
1371#540C2×D5312yescomplemented
1372#539—534no—
1373#539—534no—
1374#539—534no—
1375#539—534no—
1376#539—532no—
1377#539C2×D5312yescomplemented
1378#539C2×D5314yescomplemented
1379#538—534no—
1380#538—534no—
1381#538—534no—
1382#538—534no—
1383#538—534no—
1384#538—532no—
1385#538—534no—
1386#538—532no—
1387#538—534no—
1388#538—534no—
1389#538—534no—
1390#537—534no—
1391#537—532no—
1392#537C2×D5312yescomplemented
1393#536—534no—
1394#536—534no—
1395#535—532no—
1396#535—534no—
1397#535—532no—
1398#534—534no—
1399#534—534no—
1400#534—534no—
1401#534—534no—
1402#534—534no—
1403#534—532no—
1404#534—532no—
1405#532—532no—
1406#532—534no—
1407#532—531no—
1408#532—532no—
1409#532—531no—
1410#532—532no—
1411#532—532no—
1412#532—532no—
1413#532—532no—
1414#532—532no—
1415#532—532no—
1416#532—531no—
1417#532C2×D5311yescharacteristic, complemented
1418C2×C4⋊Q8—531no—
1419C2×#127—531no—
1420#529—532no—
1421#529—532no—
1422#529—532no—
1423#529—532no—
1424#529—532no—
1425#529—532no—
1426#529—531no—
1427#529—532no—
1428#529—532no—
1429#529—532no—
1430#529—532no—
1431#529—531no—
1432#529—532no—
1433#529—534no—
1434#529—531no—
1435#529—531no—
1436#529—531no—
1437#529—532no—
1438#529—531no—
1439#529—532no—
1440#529—532no—
1441#529—531no—
1442#529C2×D5311yescharacteristic, complemented
1443C2×#126—532no—
1444C2×#126—532no—
1445C2×#125—531no—
1446C2×#125C2×D5311yescharacteristic, complemented
1447C2×#124—531no—
1448C2×#124—532no—
1449C2×#124—531no—
1450#525—534no—
1451#525—532no—
1452#525—534no—
1453#525—534no—
1454#525—532no—
1455C2×#123—532no—
1456C2×#123—534no—
1457C2×#123—532no—
1458C2×#123—534no—
1459C2×C22⋊Q8—531no—
1460C2×C22⋊Q8—531no—
1461C2×#121—531no—
1462C2×#121—532no—
1463C2×#121—532no—
1464C2×#121—534no—
1465C2×#121—532no—
1466C2×#121—531no—
1467C2×#121—532no—
1468#520—532no—
1469#520—534no—
1470#520—532no—
1471#518—534no—
1472#518—534no—
1473#518—532no—
1474#518—532no—
1475C2×C4×Q8—531no—
1476C2×C4×Q8—531no—
1477C2×C4×D4—532no—
1478C2×C4×D4—531no—
1479C2×C4×D4—532no—
1480C2×C4×D4—532no—
1481C2×C4×D4—532no—
1482C2×C4×D4—531no—
1483C2×#117—532no—
1484C2×#117—532no—
1485C22×C42—531no—
1486C53#6282211yescharacteristic, complemented, Sylow
1487H(5,𝔽2)—21216no—
1488C2×#41—534no—
1489C2×#41—532no—
1490C2×#41—534no—
1491C2×#41—532no—
1492C2×#41—534no—
1493C2×#41—532no—
1494C2×#41—534no—
1495C2×#41—532no—
1496C2×#41—534no—
1497C2×#41—534no—
1498C2×#41—532no—
1499C2×#41—534no—
1500C2×#41—534no—
1501C2×#41—2128no—
1502C2×#41C22×D5312yes—
1503C2×#41C22×D5314yes—
1504C22×Q8—531no—
1505C22×Q8—532no—
1506C22×Q8—531no—
1507C22×D4—532no—
1508C22×D4—534no—
1509C22×D4—531no—
1510C22×D4—532no—
1511C22×D4—532no—
1512C22×D4—534no—
1513C22×D4—532no—
1514C22×D4—534no—
1515C22×D4—534no—
1516C22×D4—534no—
1517C22×D4—534no—
1518C22×D4—532no—
1519C22×D4—532no—
1520C22×D4—531no—
1521C22×D4—532no—
1522C22×D4—534no—
1523C22×D4—534no—
1524C23×C4—531no—
1525C23×C4—532no—
1526C23×C4—532no—
1527C23×C4—531no—
1528C23×C4—531no—
1529C23×C4—534no—
1530C4⋊Q8—532no—
1531C4⋊Q8—534no—
1532C4⋊Q8—534no—
1533C4⋊Q8—532no—
1534C4⋊Q8—532no—
1535C4⋊Q8—532no—
1536C4⋊Q8—534no—
1537C4⋊Q8—534no—
1538C4⋊Q8—531no—
1539C4⋊Q8C22×D5311yescharacteristic
1540C4⋊Q8C22×D5312yes—
1541C4⋊Q8C22×D5314yes—
1542#127—532no—
1543#127—532no—
1544#127—532no—
1545#127—534no—
1546#127—532no—
1547#127—531no—
1548#127—532no—
1549#127C22×D5311yescharacteristic
1550#126—534no—
1551#126—532no—
1552#126—534no—
1553#126—534no—
1554#126—532no—
1555#126—534no—
1556#126—532no—
1557#126—534no—
1558#126—534no—
1559#126—534no—
1560#126—534no—
1561#126—534no—
1562#126—534no—
1563#126—534no—
1564#126—532no—
1565#126—532no—
1566#126—532no—
1567#126—534no—
1568#126—534no—
1569#126—534no—
1570#126—532no—
1571#126C22×D5312yes—
1572#126C22×D5314yes—
1573#126C22×D5314yes—
1574#125—531no—
1575#125—531no—
1576#125—532no—
1577#125—532no—
1578#125—534no—
1579#125—532no—
1580#125—534no—
1581#125—534no—
1582#125—531no—
1583#125—534no—
1584#125C22×D5311yescharacteristic
1585#125C22×D5312yes—
1586#125C22×D5312yes—
1587#125C22×D5312yes—
1588#125C22×D5312yes—
1589#125C22×D5312yes—
1590#125C22×D5314yes—
1591#124—531no—
1592#124—532no—
1593#124—534no—
1594#124—534no—
1595#124—534no—
1596#124—534no—
1597#124—531no—
1598#124—532no—
1599#124—532no—
1600#124—534no—
1601#124—532no—
1602#124—532no—
1603#124—534no—
1604#124—534no—
1605#124—534no—
1606#124—534no—
1607#124—534no—
1608#124—534no—
1609#124—534no—
1610#124—534no—
1611#124—534no—
1612#124—532no—
1613#124—532no—
1614#124—532no—
1615#124—531no—
1616#124—532no—
1617#124—532no—
1618#124—532no—
1619#124—534no—
1620#124C22×D5311yescharacteristic
1621#124C22×D5312yes—
1622#123—532no—
1623#123—534no—
1624#123—532no—
1625#123—534no—
1626#123—534no—
1627#123—534no—
1628#123—534no—
1629#123—532no—
1630#123—534no—
1631#123—532no—
1632#123—534no—
1633#123—534no—
1634#123—534no—
1635#123—534no—
1636#123—534no—
1637#123—534no—
1638#123—534no—
1639#123—534no—
1640#123—534no—
1641#123—534no—
1642#123—534no—
1643#123—534no—
1644#123—534no—
1645#123—534no—
1646#123—534no—
1647#123—534no—
1648#123—534no—
1649#123—534no—
1650#123—534no—
1651#123—534no—
1652#123—532no—
1653#123—532no—
1654#123—532no—
1655#123—534no—
1656#123—534no—
1657#123—534no—
1658#123—534no—
1659#123—534no—
1660#123—534no—
1661#123—534no—
1662#123—534no—
1663#123—534no—
1664#123—534no—
1665#123—534no—
1666#123—534no—
1667#123C22×D5312yes—
1668#123C22×D5314yes—
1669#123C22×D5314yes—
1670#123C22×D5314yes—
1671#123C22×D5314yes—
1672#123C22×D5314yes—
1673#123C22×D5314yes—
1674C22⋊Q8—531no—
1675C22⋊Q8—534no—
1676C22⋊Q8—534no—
1677C22⋊Q8—534no—
1678C22⋊Q8—531no—
1679C22⋊Q8—532no—
1680C22⋊Q8—534no—
1681C22⋊Q8—532no—
1682C22⋊Q8—532no—
1683C22⋊Q8—532no—
1684C22⋊Q8—532no—
1685C22⋊Q8—531no—
1686C22⋊Q8—532no—
1687C22⋊Q8—534no—
1688C22⋊Q8—534no—
1689C22⋊Q8—532no—
1690C22⋊Q8—534no—
1691C22⋊Q8—534no—
1692C22⋊Q8—534no—
1693C22⋊Q8—534no—
1694C22⋊Q8—534no—
1695C22⋊Q8—534no—
1696C22⋊Q8—534no—
1697C22⋊Q8—534no—
1698C22⋊Q8—534no—
1699C22⋊Q8—534no—
1700C22⋊Q8—534no—
1701C22⋊Q8—532no—
1702C22⋊Q8—534no—
1703C22⋊Q8—534no—
1704C22⋊Q8C22×D5311yescharacteristic
1705C22⋊Q8C22×D5314yes—
1706C22⋊Q8C22×D5314yes—
1707C22⋊Q8C22×D5314yes—
1708C22⋊Q8C22×D5314yes—
1709C22⋊Q8C22×D5314yes—
1710C22⋊Q8C22×D5314yes—
1711#121—532no—
1712#121—532no—
1713#121—534no—
1714#121—531no—
1715#121—532no—
1716#121—534no—
1717#121—534no—
1718#121—534no—
1719#121—534no—
1720#121—534no—
1721#121—534no—
1722#121—534no—
1723#121—534no—
1724#121—534no—
1725#121—534no—
1726#121—531no—
1727#121—532no—
1728#121—532no—
1729#121—534no—
1730#121—532no—
1731#121—534no—
1732#121—534no—
1733#121—534no—
1734#121—534no—
1735#121—532no—
1736#121—532no—
1737#121—532no—
1738#121—532no—
1739#121—531no—
1740#121—532no—
1741#121—532no—
1742#121—534no—
1743#121—534no—
1744#121—534no—
1745#121—532no—
1746#121—532no—
1747#121—534no—
1748#121—532no—
1749#121—534no—
1750#121—534no—
1751#121—534no—
1752#121—534no—
1753#121—534no—
1754#121—534no—
1755#121—534no—
1756#121—532no—
1757#121—534no—
1758#121—534no—
1759#121—534no—
1760#121—534no—
1761#121—534no—
1762#121—534no—
1763#121—534no—
1764#121—534no—
1765#121—534no—
1766#121—534no—
1767#121—534no—
1768#121—534no—
1769#121C22×D5311yescharacteristic
1770#121C22×D5312yes—
1771#121C22×D5312yes—
1772#121C22×D5314yes—
1773#121C22×D5312yes—
1774#121C22×D5312yes—
1775#121C22×D5314yes—
1776#121C22×D5314yes—
1777#121C22×D5314yes—
1778#120—534no—
1779#120—534no—
1780#120—534no—
1781#120—534no—
1782#120—534no—
1783#120—534no—
1784#120—534no—
1785#120—534no—
1786#120—534no—
1787#120—534no—
1788#120—534no—
1789#120—534no—
1790#120—534no—
1791#120—534no—
1792#120—534no—
1793#120—534no—
1794#120—534no—
1795#120—534no—
1796#120—534no—
1797#120—534no—
1798C4×Q8—531no—
1799C4×Q8—532no—
1800C4×Q8—532no—
1801C4×Q8—531no—
1802C4×Q8—532no—
1803C4×Q8—532no—
1804C4×Q8—532no—
1805C4×Q8—534no—
1806C4×Q8—532no—
1807C4×Q8—532no—
1808C4×Q8—531no—
1809C4×Q8—532no—
1810C4×Q8C22×D5311yescharacteristic
1811C4×D4—532no—
1812C4×D4—531no—
1813C4×D4—532no—
1814C4×D4—532no—
1815C4×D4—534no—
1816C4×D4—534no—
1817C4×D4—534no—
1818C4×D4—532no—
1819C4×D4—532no—
1820C4×D4—532no—
1821C4×D4—534no—
1822C4×D4—534no—
1823C4×D4—534no—
1824C4×D4—534no—
1825C4×D4—534no—
1826C4×D4—534no—
1827C4×D4—534no—
1828C4×D4—534no—
1829C4×D4—534no—
1830C4×D4—534no—
1831C4×D4—534no—
1832C4×D4—532no—
1833C4×D4—532no—
1834C4×D4—531no—
1835C4×D4—532no—
1836C4×D4—534no—
1837C4×D4—534no—
1838C4×D4—532no—
1839C4×D4—532no—
1840C4×D4—534no—
1841C4×D4—532no—
1842C4×D4—534no—
1843C4×D4—532no—
1844C4×D4—534no—
1845C4×D4—534no—
1846C4×D4—532no—
1847C4×D4—532no—
1848C4×D4—534no—
1849C4×D4—532no—
1850C4×D4—534no—
1851C4×D4—532no—
1852C4×D4—532no—
1853C4×D4—532no—
1854C4×D4—534no—
1855C4×D4—534no—
1856C4×D4—534no—
1857C4×D4—534no—
1858C4×D4—534no—
1859C4×D4—534no—
1860C4×D4—534no—
1861C4×D4—532no—
1862C4×D4—531no—
1863C4×D4—532no—
1864C4×D4—532no—
1865C4×D4—534no—
1866C4×D4—534no—
1867C4×D4—534no—
1868C4×D4—534no—
1869C4×D4—532no—
1870C4×D4C22×D5312yes—
1871C4×D4C22×D5311yescharacteristic
1872C4×D4C22×D5312yes—
1873C4×D4C22×D5312yes—
1874C4×D4C22×D5314yes—
1875C4×D4C22×D5314yes—
1876C4×D4C22×D5312yes—
1877C4×D4C22×D5312yes—
1878#117—532no—
1879#117—534no—
1880#117—534no—
1881#117—534no—
1882#117—532no—
1883#117—534no—
1884#117—532no—
1885#117—534no—
1886#117—534no—
1887#117—532no—
1888#117—534no—
1889#117—534no—
1890#117—532no—
1891#117—532no—
1892#117—534no—
1893#117—532no—
1894#117—532no—
1895#117—534no—
1896#117—534no—
1897#117C22×D5312yes—
1898#117C22×D5312yes—
1899C2×C4⋊C4—532no—
1900C2×C4⋊C4—532no—
1901C2×C4⋊C4—534no—
1902C2×C4⋊C4—532no—
1903C2×C4⋊C4—532no—
1904C2×C4⋊C4—532no—
1905C2×C4⋊C4—532no—
1906C2×C4⋊C4—531no—
1907C2×C4⋊C4—532no—
1908C2×C4⋊C4—531no—
1909C2×C4⋊C4—532no—
1910C2×C4⋊C4—534no—
1911C2×C4⋊C4—532no—
1912C2×C4⋊C4—534no—
1913C2×C4⋊C4—534no—
1914C2×C4⋊C4C22×D5312yes—
1915C2×C4⋊C4C22×D5311yescharacteristic
1916C2×C4⋊C4C22×D5312yes—
1917C2×C4⋊C4C22×D5311yescharacteristic
1918C2×C4⋊C4C22×D5312yes—
1919C2×C4⋊C4C22×D5314yes—
1920C2×C22⋊C4—532no—
1921C2×C22⋊C4—532no—
1922C2×C22⋊C4—532no—
1923C2×C22⋊C4—532no—
1924C2×C22⋊C4—532no—
1925C2×C22⋊C4—534no—
1926C2×C22⋊C4—534no—
1927C2×C22⋊C4—534no—
1928C2×C22⋊C4—534no—
1929C2×C22⋊C4—532no—
1930C2×C22⋊C4—532no—
1931C2×C22⋊C4—532no—
1932C2×C22⋊C4—534no—
1933C2×C22⋊C4—534no—
1934C2×C22⋊C4—532no—
1935C2×C22⋊C4—532no—
1936C2×C22⋊C4—534no—
1937C2×C22⋊C4—534no—
1938C2×C22⋊C4—534no—
1939C2×C22⋊C4—534no—
1940C2×C22⋊C4—534no—
1941C2×C22⋊C4—534no—
1942C2×C42—531no—
1943C2×C42—532no—
1944C2×C42—531no—
1945C2×C42—531no—
1946C2×C42—531no—
1947C2×C42—532no—
1948C2×C42—531no—
1949C2×C42—531no—
1950C2×C42—531no—
1951C2×C42—531no—
1952C2×C42—531no—
1953C2×C42—531no—
1954C2×C42—531no—
1955C2×C42C22×D5311yescharacteristic
1956C24—531no—
1957C24—534no—
1958C24—532no—
1959C24—532no—
1960C24—534no—
1961C24—534no—
1962#41—44no—
1963#41—48no—
1964#41—2124no—
1965#41—2128no—
1966#41—2124no—
1967#41—2128no—
1968#41—2128no—
1969#41—2128no—
1970#41—2128no—
1971#41—2128no—
1972#41—2124no—
1973#41—2124no—
1974#41—2124no—
1975#41—2128no—
1976#41—2128no—
1977C2×Q8—532no—
1978C2×Q8—532no—
1979C2×Q8—531no—
1980C2×Q8—532no—
1981C2×Q8—534no—
1982C2×Q8—534no—
1983C2×Q8—532no—
1984C2×Q8—2122no—
1985C2×Q8—2124no—
1986C2×Q8—2122no—
1987C2×Q8C23×D5311yescharacteristic
1988C2×Q8C23×D5314yes—
1989C2×Q8C23×D5312yes—
1990C2×D4—532no—
1991C2×D4—534no—
1992C2×D4—532no—
1993C2×D4—534no—
1994C2×D4—534no—
1995C2×D4—532no—
1996C2×D4—534no—
1997C2×D4—534no—
1998C2×D4—534no—
1999C2×D4—534no—
2000C2×D4—534no—
2001C2×D4—534no—
2002C2×D4—534no—
2003C2×D4—534no—
2004C2×D4—532no—
2005C2×D4—532no—
2006C2×D4—534no—
2007C2×D4—532no—
2008C2×D4—534no—
2009C2×D4—534no—
2010C2×D4—534no—
2011C2×D4—531no—
2012C2×D4—532no—
2013C2×D4—534no—
2014C2×D4—534no—
2015C2×D4—532no—
2016C2×D4—534no—
2017C2×D4—532no—
2018C2×D4—534no—
2019C2×D4—534no—
2020C2×D4—1068no—
2021C2×D4—10616no—
2022C2×D4—1068no—
2023C2×D4—2122no—
2024C2×D4—2124no—
2025C2×D4—2128no—
2026C2×D4—2128no—
2027C2×D4—2124no—
2028C2×D4—2124no—
2029C2×D4—2124no—
2030C2×D4—2122no—
2031C2×D4—2128no—
2032C2×D4—2124no—
2033C2×D4—2128no—
2034C2×D4—2128no—
2035C2×D4—2128no—
2036C2×D4—2128no—
2037C2×D4C23×D5312yes—
2038C2×D4C23×D5314yes—
2039C2×D4C23×D5312yes—
2040C2×D4C23×D5311yescharacteristic
2041C2×D4C23×D5314yes—
2042C2×D4C23×D5312yes—
2043C2×D4C23×D5312yes—
2044C2×D4C23×D5314yes—
2045C22×C4—531no—
2046C22×C4—531no—
2047C22×C4—531no—
2048C22×C4—532no—
2049C22×C4—534no—
2050C22×C4—532no—
2051C22×C4—534no—
2052C22×C4—531no—
2053C22×C4—531no—
2054C22×C4—531no—
2055C22×C4—531no—
2056C22×C4—531no—
2057C22×C4—531no—
2058C22×C4—531no—
2059C22×C4—531no—
2060C22×C4—532no—
2061C22×C4—534no—
2062C22×C4—534no—
2063C22×C4—532no—
2064C22×C4—531no—
2065C22×C4—531no—
2066C22×C4—531no—
2067C22×C4—531no—
2068C22×C4—532no—
2069C22×C4—532no—
2070C22×C4—534no—
2071C22×C4—534no—
2072C22×C4—534no—
2073C22×C4—532no—
2074C22×C4—534no—
2075C22×C4—534no—
2076C22×C4—534no—
2077C22×C4—534no—
2078C22×C4—534no—
2079C22×C4—534no—
2080C22×C4—1064no—
2081C22×C4—2122no—
2082C22×C4—2124no—
2083C22×C4—2122no—
2084C22×C4—2124no—
2085C22×C4—2128no—
2086C22×C4C23×D5311yescharacteristic
2087C22×C4C23×D5311yescharacteristic
2088C22×C4C23×D5312yes—
2089C22×C4C23×D5312yes—
2090C22×C4C23×D5311yescharacteristic
2091C22×C4C23×D5312yes—
2092C22×C4C23×D5314yes—
2093C22×C4C23×D5314yes—
2094C22×C4C23×D5314yes—
2095C22×C4C23×D5314yes—
2096C4⋊C4—532no—
2097C4⋊C4—532no—
2098C4⋊C4—532no—
2099C4⋊C4—534no—
2100C4⋊C4—532no—
2101C4⋊C4—534no—
2102C4⋊C4—532no—
2103C4⋊C4—534no—
2104C4⋊C4—534no—
2105C4⋊C4—532no—
2106C4⋊C4—534no—
2107C4⋊C4—532no—
2108C4⋊C4—532no—
2109C4⋊C4—532no—
2110C4⋊C4—532no—
2111C4⋊C4—534no—
2112C4⋊C4—532no—
2113C4⋊C4—532no—
2114C4⋊C4—532no—
2115C4⋊C4—534no—
2116C4⋊C4—532no—
2117C4⋊C4—531no—
2118C4⋊C4—534no—
2119C4⋊C4—534no—
2120C4⋊C4—534no—
2121C4⋊C4—531no—
2122C4⋊C4—534no—
2123C4⋊C4—532no—
2124C4⋊C4—532no—
2125C4⋊C4—534no—
2126C4⋊C4—534no—
2127C4⋊C4—534no—
2128C4⋊C4C23×D5314yes—
2129C4⋊C4C23×D5312yes—
2130C4⋊C4C23×D5312yes—
2131C4⋊C4C23×D5314yes—
2132C4⋊C4C23×D5314yes—
2133C4⋊C4C23×D5312yes—
2134C4⋊C4C23×D5312yes—
2135C4⋊C4C23×D5312yes—
2136C4⋊C4C23×D5312yes—
2137C4⋊C4C23×D5312yes—
2138C4⋊C4C23×D5311yescharacteristic
2139C4⋊C4C23×D5311yescharacteristic
2140C4⋊C4C23×D5314yes—
2141C4⋊C4C23×D5312yes—
2142C4⋊C4C23×D5314yes—
2143C4⋊C4C23×D5314yes—
2144C4⋊C4C23×D5312yes—
2145C4⋊C4C23×D5314yes—
2146C4⋊C4C23×D5312yes—
2147C4⋊C4C23×D5314yes—
2148C22⋊C4—532no—
2149C22⋊C4—532no—
2150C22⋊C4—534no—
2151C22⋊C4—534no—
2152C22⋊C4—532no—
2153C22⋊C4—532no—
2154C22⋊C4—532no—
2155C22⋊C4—534no—
2156C22⋊C4—534no—
2157C22⋊C4—534no—
2158C22⋊C4—534no—
2159C22⋊C4—532no—
2160C22⋊C4—532no—
2161C22⋊C4—534no—
2162C22⋊C4—532no—
2163C22⋊C4—534no—
2164C22⋊C4—532no—
2165C22⋊C4—534no—
2166C22⋊C4—532no—
2167C22⋊C4—534no—
2168C22⋊C4—534no—
2169C22⋊C4—534no—
2170C22⋊C4—534no—
2171C22⋊C4—534no—
2172C22⋊C4—534no—
2173C22⋊C4—532no—
2174C22⋊C4—534no—
2175C22⋊C4—532no—
2176C22⋊C4—534no—
2177C22⋊C4—534no—
2178C22⋊C4—532no—
2179C22⋊C4—534no—
2180C22⋊C4—532no—
2181C22⋊C4—534no—
2182C22⋊C4—534no—
2183C22⋊C4—534no—
2184C22⋊C4—534no—
2185C22⋊C4—532no—
2186C22⋊C4—534no—
2187C22⋊C4—534no—
2188C22⋊C4—534no—
2189C22⋊C4—534no—
2190C22⋊C4—534no—
2191C22⋊C4—534no—
2192C22⋊C4—534no—
2193C22⋊C4—534no—
2194C22⋊C4C23×D5312yes—
2195C22⋊C4C23×D5314yes—
2196C22⋊C4C23×D5312yes—
2197C22⋊C4C23×D5312yes—
2198C22⋊C4C23×D5312yes—
2199C22⋊C4C23×D5312yes—
2200C22⋊C4C23×D5314yes—
2201C22⋊C4C23×D5314yes—
2202C22⋊C4C23×D5314yes—
2203C22⋊C4C23×D5314yes—
2204C22⋊C4C23×D5314yes—
2205C22⋊C4C23×D5314yes—
2206C42—531no—
2207C42—531no—
2208C42—531no—
2209C42—531no—
2210C42—531no—
2211C42—531no—
2212C42—531no—
2213C42—531no—
2214C42—531no—
2215C42—531no—
2216C42—531no—
2217C42—531no—
2218C42—534no—
2219C42—532no—
2220C42—532no—
2221C42—534no—
2222C42—532no—
2223C42—534no—
2224C42—534no—
2225C42—534no—
2226C42C23×D5311yescharacteristic
2227C42C23×D5311yescharacteristic
2228C42C23×D5311yescharacteristic
2229C42C23×D5311yescharacteristic
2230C42C23×D5312yes—
2231C42C23×D5314yes—
2232C23—531no—
2233C23—531no—
2234C23—534no—
2235C23—534no—
2236C23—532no—
2237C23—534no—
2238C23—1068no—
2239C23—1064no—
2240C23—1064no—
2241C23—2124no—
2242C23—2124no—
2243C23—2124no—
2244C23—2124no—
2245C23—2124no—
2246C23—2124no—
2247C23—2122no—
2248C23—2122no—
2249C23—2122no—
2250C23—2124no—
2251C23—2122no—
2252C23—2124no—
2253C23—2121no—
2254C23—2121no—
2255C23C24×D5312yes—
2256C23C24×D5314yes—
2257C23C24×D5311yescharacteristic
2258Q8—41no—
2259Q8—42no—
2260Q8—44no—
2261Q8—1064no—
2262Q8—1064no—
2263Q8—2121no—
2264Q8—2122no—
2265Q8—2122no—
2266Q8—2124no—
2267Q8—2124no—
2268D4—24no—
2269D4—28no—
2270D4—24no—
2271D4—44no—
2272D4—44no—
2273D4—42no—
2274D4—41no—
2275D4—42no—
2276D4—1068no—
2277D4—1068no—
2278D4—1064no—
2279D4—1068no—
2280D4—1064no—
2281D4—1068no—
2282D4—1064no—
2283D4—1068no—
2284D4—1064no—
2285D4—1068no—
2286D4—1064no—
2287D4—1064no—
2288D4—2124no—
2289D4—2122no—
2290D4—2121no—
2291D4—2124no—
2292D4—2122no—
2293D4—2124no—
2294D4—2124no—
2295D4—2124no—
2296D4—2122no—
2297D4—2124no—
2298D4—2124no—
2299D4—2124no—
2300D4—2124no—
2301D4—2124no—
2302D4—2124no—
2303D4—2124no—
2304D4—2124no—
2305D4—2124no—
2306C2×C4—22no—
2307C2×C4—24no—
2308C2×C4—22no—
2309C2×C4—24no—
2310C2×C4—42no—
2311C2×C4—41no—
2312C2×C4—44no—
2313C2×C4—44no—
2314C2×C4—44no—
2315C2×C4—44no—
2316C2×C4—531no—
2317C2×C4—531no—
2318C2×C4—531no—
2319C2×C4—532no—
2320C2×C4—534no—
2321C2×C4—531no—
2322C2×C4—531no—
2323C2×C4—531no—
2324C2×C4—532no—
2325C2×C4—534no—
2326C2×C4—532no—
2327C2×C4—1062no—
2328C2×C4—1062no—
2329C2×C4—1068no—
2330C2×C4—1062no—
2331C2×C4—1062no—
2332C2×C4—1062no—
2333C2×C4—1062no—
2334C2×C4—1068no—
2335C2×C4—1064no—
2336C2×C4—1062no—
2337C2×C4—1062no—
2338C2×C4—1062no—
2339C2×C4—1062no—
2340C2×C4—1064no—
2341C2×C4—2124no—
2342C2×C4—2121no—
2343C2×C4—2121no—
2344C2×C4—2122no—
2345C2×C4—2122no—
2346C2×C4—2121no—
2347C2×C4—2121no—
2348C2×C4—2124no—
2349C2×C4—2124no—
2350C2×C4—2124no—
2351C2×C4—2124no—
2352C2×C4—2124no—
2353C2×C4—2124no—
2354C2×C4—2122no—
2355C2×C4—2124no—
2356C2×C4—2124no—
2357C2×C4—2122no—
2358C2×C4—2121no—
2359C2×C4—2124no—
2360C2×C4—2122no—
2361C2×C4—2124no—
2362C2×C4C24×D5312yes—
2363C2×C4C24×D5311yescharacteristic
2364C2×C4C24×D5311yescharacteristic
2365C2×C4C24×D5311yescharacteristic
2366C2×C4C24×D5311yescharacteristic
2367C2×C4C24×D5311yescharacteristic
2368C2×C4C24×D5314yes—
2369C2×C4C24×D5314yes—
2370C2×C4C24×D5314yes—
2371C2×C4C24×D5312yes—
2372C2×C4C24×D5312yes—
2373C2×C4C24×D5311yescharacteristic
2374C22—21no—
2375C22—21no—
2376C22—24no—
2377C22—22no—
2378C22—24no—
2379C22—22no—
2380C22—22no—
2381C22—24no—
2382C22—532no—
2383C22—532no—
2384C22—8484no—
2385C22—8484no—
2386C22—1061no—
2387C22—1061no—
2388C22—1061no—
2389C22—1061no—
2390C22—1064no—
2391C22—1064no—
2392C22—1062no—
2393C22—1064no—
2394C22—1064no—
2395C22—1062no—
2396C22—1062no—
2397C22—1064no—
2398C22—1064no—
2399C22—4244no—
2400C22—4244no—
2401C22—4248no—
2402C22—2124no—
2403C22H(5,𝔽2)×D5312yes—
2404C22C25×D5311yescharacteristic
2405C4—21no—
2406C4—24no—
2407C4—21no—
2408C4—22no—
2409C4—24no—
2410C4—24no—
2411C4—22no—
2412C4—21no—
2413C4—21no—
2414C4—22no—
2415C4—21no—
2416C4—532no—
2417C4—1061no—
2418C4—1061no—
2419C4—1062no—
2420C4—1064no—
2421C4—1061no—
2422C4—1062no—
2423C4—1061no—
2424C4—1062no—
2425C4—1061no—
2426C4—1064no—
2427C4#1681146012yes—
2428C2—22no—
2429C2—42no—
2430C2—44no—
2431C2—1062no—
2432C2—1062no—
2433C2—2124no—
2434C2—2122no—
2435C2—2124no—
2436C2C2×H(5,𝔽2)×D5311yescharacteristic
2437C2#585×D5311yescharacteristic
2438C2C2×#1681146011yescharacteristic
subgroupG/H
center, FrattiniC22C25×D53
commutator, socle, cosocleC22×C53C26
FittingC53×#3559C2
hypercenter#3559D53
hypocenterC53#62822
LCSG ▷ C22×C53 ▷ C53
UCSC1 ◁ C22 ◁ #3559

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #20289272C2semidirect
2. #20289268C2semidirect
3. #20289264C2semidirect
4. #20289252C2semidirect
5. #20289249C2semidirect
6. #20289238C2semidirect
7. #20289237C2semidirect
8. #20289231C2semidirect
9. #20289073C2semidirect
10. #20289065C2semidirect
11. #20289058C2semidirect
12. #20289044C2semidirect
13. #20288799C2semidirect
14. #20288793C2semidirect
15. #20288743C2semidirect
16. #20288740C2semidirect
17. #20288662C2semidirect
18. #20288658C2semidirect
19. #20288645C2semidirect
20. #20288547C2semidirect
21. #20288544C2semidirect
22. #20288478C2semidirect
23. #20288473C2semidirect
24. #20288453C2semidirect
25. #20288442C2semidirect
26. #20288439C2semidirect
27. #20288354C2semidirect
28. #532×D53C2semidirect
29. C2×#16811158C2semidirect
30. #529×D53C2semidirect
31. C53×#3559C2semidirect
32. C2×#13133263C22semidirect
33. C2×#41×D53C22semidirect
34. #16811377C22semidirect
35. #16811377C22semidirect
36. #16811374C22semidirect
37. #16811371C22semidirect
38. #16811371C22semidirect
39. #16811367C22semidirect
40. #16811365C22semidirect
41. #16811365C22semidirect
42. #16811363C22semidirect
43. #16811361C22semidirect
44. #16811358C22semidirect
45. #16811357C22semidirect
46. #16811356C22semidirect
47. #16811356C22semidirect
48. #16811353C22semidirect
49. #16811339C22semidirect
50. #16811337C22semidirect
51. #16811336C22semidirect
52. #16811329C22semidirect
53. #16811329C22semidirect
54. #16811328C22semidirect
55. #16811327C22semidirect
56. #16811326C22semidirect
57. #16811326C22semidirect
58. #16811326C22semidirect
59. #16811325C22semidirect
60. #16811324C22semidirect
61. #16811324C22semidirect
62. #16811323C22semidirect
63. #16811321C22semidirect
64. #16811321C22semidirect
65. #16811319C22semidirect
66. #16811318C22semidirect
67. #16811316C22semidirect
68. #16811312C22semidirect
69. #16811311C22semidirect
70. #16811305C22semidirect
71. #16811301C22semidirect
72. #16811301C22semidirect
73. #16811300C22semidirect
74. #16811300C22semidirect
75. #16811300C22semidirect
76. #16811300C22semidirect
77. #16811298C22semidirect
78. #16811298C22semidirect
79. #16811296C22semidirect
80. #16811296C22semidirect
81. #16811294C22semidirect
82. #16811291C22semidirect
83. #16811283C22semidirect
84. #16811282C22semidirect
85. #16811279C22semidirect
86. #16811276C22semidirect
87. #16811276C22semidirect
88. #16811275C22semidirect
89. #16811275C22semidirect
90. #16811275C22semidirect
91. #16811274C22semidirect
92. #16811274C22semidirect
93. #16811274C22semidirect
94. #16811274C22semidirect
95. #16811272C22semidirect
96. #16811271C22semidirect
97. #16811271C22semidirect
98. #16811270C22semidirect
99. #16811270C22semidirect
100. #16811270C22semidirect
101. #16811269C22semidirect
102. #16811269C22semidirect
103. #16811268C22semidirect
104. #16811268C22semidirect
105. #16811268C22semidirect
106. #16811265C22semidirect
107. #16811265C22semidirect
108. #16811265C22semidirect
109. #16811265C22semidirect
110. #16811265C22semidirect
111. #16811265C22semidirect
112. #16811264C22semidirect
113. #16811264C22semidirect
114. #16811264C22semidirect
115. #16811264C22semidirect
116. #16811262C22semidirect
117. #16811262C22semidirect
118. #16811261C22semidirect
119. #16811261C22semidirect
120. D4×D212C22semidirect
121. D4×D212C22semidirect
122. #16811257C22semidirect
123. #16811257C22semidirect
124. #16811257C22semidirect
125. #16811257C22semidirect
126. #16811257C22semidirect
127. #16811253C22semidirect
128. #16811250C22semidirect
129. #16811247C22semidirect
130. #16811247C22semidirect
131. #16811246C22semidirect
132. #16811244C22semidirect
133. #16811243C22semidirect
134. #16811243C22semidirect
135. #16811243C22semidirect
136. #16811243C22semidirect
137. #16811241C22semidirect
138. #16811240C22semidirect
139. #16811229C22semidirect
140. #16811229C22semidirect
141. #16811226C22semidirect
142. #16811225C22semidirect
143. #16811225C22semidirect
144. #16811222C22semidirect
145. #16811221C22semidirect
146. #16811220C22semidirect
147. #16811214C22semidirect
148. #16811214C22semidirect
149. #16811213C22semidirect
150. #16811213C22semidirect
151. #16811212C22semidirect
152. #16811212C22semidirect
153. #16811212C22semidirect
154. #16811210C22semidirect
155. #16811210C22semidirect
156. #16811209C22semidirect
157. #16811209C22semidirect
158. #16811206C22semidirect
159. #16811205C22semidirect
160. #16811204C22semidirect
161. #16811203C22semidirect
162. #16811198C22semidirect
163. #16811196C22semidirect
164. #16811192C22semidirect
165. #16811189C22semidirect
166. #16811186C22semidirect
167. #16811184C22semidirect
168. #16811184C22semidirect
169. #16811184C22semidirect
170. #16811181C22semidirect
171. #16811181C22semidirect
172. #16811181C22semidirect
173. #16811181C22semidirect
174. #16811174C22semidirect
175. #16811174C22semidirect
176. #16811173C22semidirect
177. #16811172C22semidirect
178. #16811171C22semidirect
179. #16811170C22semidirect
180. #16811170C22semidirect
181. #16811170C22semidirect
182. #16811169C22semidirect
183. #16811169C22semidirect
184. #16811168C22semidirect
185. #16811168C22semidirect
186. C4⋊Q8×D53C22semidirect
187. #127×D53C22semidirect
188. #16811160C22semidirect
189. #16811159C22semidirect
190. #16811158C22semidirect
191. #16811158C22semidirect
192. #16811158C22semidirect
193. #16811158C22semidirect
194. #16811158C22semidirect
195. #16811158C22semidirect
196. #16811158C22semidirect
197. #16811158C22semidirect
198. #16811158C22semidirect
199. #16811158C22semidirect
200. #16811157C22semidirect
201. #16811156C22semidirect
202. #16811155C22semidirect
203. #16811155C22semidirect
204. #16811154C22semidirect
205. #16811153C22semidirect
206. #16811152C22semidirect
207. #16811151C22semidirect
208. #16811150C22semidirect
209. #16811150C22semidirect
210. C2×#13133212C22semidirect
211. #126×D53C22semidirect
212. #125×D53C22semidirect
213. C2×#13133205C22semidirect
214. #124×D53C22semidirect
215. #124×D53C22semidirect
216. #16811136C22semidirect
217. #16811135C22semidirect
218. #16811133C22semidirect
219. #16811132C22semidirect
220. #16811132C22semidirect
221. C2×#13133202C22semidirect
222. C2×#13133202C22semidirect
223. #123×D53C22semidirect
224. #123×D53C22semidirect
225. C2×#13133197C22semidirect
226. C22⋊Q8×D53C22semidirect
228. C2×#13133192C22semidirect
230. #121×D53C22semidirect
231. #121×D53C22semidirect
232. #121×D53C22semidirect
233. #121×D53C22semidirect
234. #16811104C22semidirect
235. #16811104C22semidirect
236. #16811102C22semidirect
237. #16811097C22semidirect
238. #16811095C22semidirect
239. #16811095C22semidirect
240. #16811095C22semidirect
241. C2×#13133182C22semidirect
242. C4×Q8×D53C22semidirect
243. C2×#13133179C22semidirect
244. C2×#13133179C22semidirect
245. C4×D4×D53C22semidirect
246. C4×D4×D53C22semidirect
247. C4×D4×D53C22semidirect
248. C4×D4×D53C22semidirect
249. C2×#13133175C22semidirect
250. #117×D53C22semidirect
251. C2×C42×D53C22semidirect
252. C53×#563C22semidirect
253. C53×#562C22semidirect
254. C53×#554C22semidirect
255. C53×#553C22semidirect
256. C53×#553C22semidirect
257. C53×#547C22semidirect
258. C53×#547C22semidirect
259. C53×#544C22semidirect
260. C53×#540C22semidirect
261. C53×#539C22semidirect
262. C53×#539C22semidirect
263. C53×#537C22semidirect
264. C53×#532C22semidirect
265. C53×#529C22semidirect
266. C2×#125×C53C22semidirect
1214. #3559D53semidirect
1256. #563C2×D53semidirect
1260. #562C2×D53semidirect
1277. #554C2×D53semidirect
1290. #553C2×D53semidirect
1291. #553C2×D53semidirect
1322. #547C2×D53semidirect
1323. #547C2×D53semidirect
1355. #544C2×D53semidirect
1371. #540C2×D53semidirect
1377. #539C2×D53semidirect
1378. #539C2×D53semidirect
1392. #537C2×D53semidirect
1417. #532C2×D53semidirect
1442. #529C2×D53semidirect
1446. C2×#125C2×D53semidirect
1486. C53#62822semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#202892722
#202892682
#202892642
#202892522
#202892492
#202892382
#202892372
#202892312
#202890732
#202890652
#202890582
#202890442
#202887992
#202887932
#202887432
#202887402
#202886622
#202886582
#202886452
#202885472
#202885442
#202884782
#202884732
#202884532
#202884422
#202884392
#202883542
#532×D532
C2×#168111582
#529×D532
C53×#35592
#6282253